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152150012010 = 23453314611231
BaseRepresentation
bin1000110110110011011…
…0001111000001101010
3112112201121002102220000
42031230312033001222
54443100400341020
6153521410443430
713664263522563
oct2155466170152
9475647072800
10152150012010
1159587795a87
12255a2893576
1311469b2b009
14751513916a
153e57725090
hex236cd8f06a

152150012010 has 160 divisors (see below), whose sum is σ = 411574673664. Its totient is φ = 40330224000.

The previous prime is 152150011991. The next prime is 152150012041. The reversal of 152150012010 is 10210051251.

152150012010 is a `hidden beast` number, since 15 + 21 + 500 + 120 + 10 = 666.

152150012010 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123598095 + ... + 123599325.

Almost surely, 2152150012010 is an apocalyptic number.

152150012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152150012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205787336832).

152150012010 is an abundant number, since it is smaller than the sum of its proper divisors (259424661654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152150012010 is a wasteful number, since it uses less digits than its factorization.

152150012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 152150012010 its reverse (10210051251), we get a palindrome (162360063261).

The spelling of 152150012010 in words is "one hundred fifty-two billion, one hundred fifty million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 331 405 461 662 810 922 993 1231 1383 1655 1986 2305 2462 2766 2979 3310 3693 4149 4610 4965 5958 6155 6915 7386 8298 8937 9930 11079 12310 12447 13830 14895 17874 18465 20745 22158 24894 26811 29790 33237 36930 37341 41490 44685 53622 55395 62235 66474 74682 89370 99711 110790 124470 134055 152591 166185 186705 199422 268110 305182 332370 373410 407461 457773 498555 567491 762955 814922 915546 997110 1134982 1222383 1373319 1525910 1702473 2037305 2288865 2444766 2746638 2837455 3404946 3667149 4074610 4119957 4577730 5107419 5674910 6111915 6866595 7334298 8239914 8512365 10214838 11001447 12223830 12359871 13733190 15322257 17024730 18335745 20599785 22002894 24719742 25537095 30644514 33004341 36671490 41199570 45966771 51074190 55007235 61799355 66008682 76611285 91933542 110014470 123598710 153222570 165021705 187839521 229833855 330043410 375679042 459667710 563518563 939197605 1127037126 1690555689 1878395210 2817592815 3381111378 5071667067 5635185630 8452778445 10143334134 15215001201 16905556890 25358335335 30430002402 50716670670 76075006005 152150012010